Wave Scattering by a Rigid Thin Barrier

The boundary integral equation method (BIEM) is applied to examine the effectiveness of both the vertical and the inclined thin breakwater. The BIEM has been used widely for free surface flow problems in both ground-water flows and water waves. For the present problems, modifications of the method are made to treat the velocity singularity at the tip of the breakwater and the zero thickness of the breakwater. The computational domain is truncated by introducing two auxiliary boundaries at some distance away from the break-water. Analytical solutions, which satisfy the governing equations and the radiation boundary condition, with unknown coefficients are used along the auxiliary boundaries. The accuracy of the numerical technique is demonstrated by comparing numerical results with analytical solutions for a vertical breakwater in a deep water. Numerical results in terms of both reflection coefficient and transmission coefficient are presented for both vertical and inclined thin breakwater.